Abstract
Low-loss waveguiding around sharp bends is a key task in microoptics. A coupled-defect waveguide is able to perform much better at sharp bends3 than a channel waveguide.2 It also can enhance considerably the efficiency of second harmonic generation due to the low effective group velocity.4 Coupled-defect optical waveguides are a superlattice or superstructure consisting of original and modified unit cells of the underlying photonic crystal.1 A tight-binding description of a chain of defects in a linear medium was derived in1 leading to a dispersion relation which is quadratic with respect to the frequency. Recently the validity of the tight-binding approximation of the defects in a two-dimensional superstructure was investigated by means of direct transmission calculations using a transfer-matrix method.5
© 2002 Optical Society of America
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